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1126272006225 = 325247149714787
BaseRepresentation
bin10000011000111011000…
…010101111100001010001
310222200002211110222001100
4100120323002233201101
5121423101113144400
62221222513455013
7144241033044612
oct20307302574121
93880084428040
101126272006225
113a4716205133
12162342271469
138228c9c79a2
143c724765c09
151e46c184100
hex1063b0af851

1126272006225 has 72 divisors (see below), whose sum is σ = 2074028860800. Its totient is φ = 583951570560.

The previous prime is 1126272006221. The next prime is 1126272006259. The reversal of 1126272006225 is 5226002726211.

1126272006225 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 2 + 7 + 20 + 0 + 622 + 5 = 666.

It is not a de Polignac number, because 1126272006225 - 22 = 1126272006221 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1126272006225.

It is not an unprimeable number, because it can be changed into a prime (1126272006221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1218282 + ... + 1933068.

It is an arithmetic number, because the mean of its divisors is an integer number (28805956400).

Almost surely, 21126272006225 is an apocalyptic number.

1126272006225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1126272006225 is a deficient number, since it is larger than the sum of its proper divisors (947756854575).

1126272006225 is a wasteful number, since it uses less digits than its factorization.

1126272006225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714999 (or 714991 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1126272006225 in words is "one trillion, one hundred twenty-six billion, two hundred seventy-two million, six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 141 149 225 235 423 447 705 745 1175 1341 2115 2235 3525 3725 6705 7003 10575 11175 21009 33525 35015 63027 105045 175075 315135 525225 714787 1575675 2144361 3573935 6433083 10721805 17869675 32165415 33594989 53609025 100784967 106503263 160827075 167974945 302354901 319509789 503924835 532516315 839874725 958529367 1511774505 1597548945 2519624175 2662581575 4792646835 5005653361 7558872525 7987744725 15016960083 23963234175 25028266805 45050880249 75084800415 125141334025 225254401245 375424002075 1126272006225